Question 964830
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W=width; L=length=W+3in; H=height=6in
{{{V=LxWxH}}}
{{{528in^3=(L)(W)(6in)}}} Substitute for L.
{{{528in^3=(W+3in)(W)(6in)}}} Divide each side by 6in.
{{{88in^2=W^2+3W}}} Subtract 88in^2 from each side.
{{{0=W^2+3W-88in^2}}}
{{{0=(W+11in)(W-8in)}}}
{{{W+11in=0}}} {{{or}}} {{{W-8in=0}}}
{{{W=-11in}}} {{{or}}} {{{W=8in}}}
ANSWER 1: The width is 8 inches.
L=W+3in=8in+3in=11in ANSWER 2: The length is 11 inches.
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CHECK:
{{{V=(L)(W)(H)}}}
{{{528in^3=(11in)(8in)(6in)}}}
{{{528in^3=528in^3}}}